Mathematical Methods for Geophysics and Space Physics
Title | Mathematical Methods for Geophysics and Space Physics PDF eBook |
Author | William I. Newman |
Publisher | Princeton University Press |
Total Pages | 266 |
Release | 2016-05-03 |
Genre | Science |
ISBN | 0691170606 |
An essential textbook on the mathematical methods used in geophysics and space physics Graduate students in the natural sciences—including not only geophysics and space physics but also atmospheric and planetary physics, ocean sciences, and astronomy—need a broad-based mathematical toolbox to facilitate their research. In addition, they need to survey a wider array of mathematical methods that, while outside their particular areas of expertise, are important in related ones. While it is unrealistic to expect them to develop an encyclopedic knowledge of all the methods that are out there, they need to know how and where to obtain reliable and effective insights into these broader areas. Here at last is a graduate textbook that provides these students with the mathematical skills they need to succeed in today's highly interdisciplinary research environment. This authoritative and accessible book covers everything from the elements of vector and tensor analysis to ordinary differential equations, special functions, and chaos and fractals. Other topics include integral transforms, complex analysis, and inverse theory; partial differential equations of mathematical geophysics; probability, statistics, and computational methods; and much more. Proven in the classroom, Mathematical Methods for Geophysics and Space Physics features numerous exercises throughout as well as suggestions for further reading. Provides an authoritative and accessible introduction to the subject Covers vector and tensor analysis, ordinary differential equations, integrals and approximations, Fourier transforms, diffusion and dispersion, sound waves and perturbation theory, randomness in data, and a host of other topics Features numerous exercises throughout Ideal for students and researchers alike An online illustration package is available to professors
Physics of the Earth’s Space Environment
Title | Physics of the Earth’s Space Environment PDF eBook |
Author | Gerd Prölss |
Publisher | Springer Science & Business Media |
Total Pages | 522 |
Release | 2012-12-06 |
Genre | Science |
ISBN | 3642971237 |
Presents the experimental results while explaining the underlying physics on the basis of simple reasoning and agumentation. Assumes only basic knowledge of of fundamental physics and mathematics as usually required for introductory college courses in science or engineering curricula. Derives more specifics of selected topics as each phenomenon considered ,epmasizing an intuitive over a rigorous mathematical approach. Directed at a broad group of readers and students.
Geophysical Inverse Theory
Title | Geophysical Inverse Theory PDF eBook |
Author | Robert L. Parker |
Publisher | Princeton University Press |
Total Pages | 400 |
Release | 2019-12-31 |
Genre | Science |
ISBN | 069120683X |
In many physical sciences, the most natural description of a system is with a function of position or time. In principle, infinitely many numbers are needed to specify that function, but in practice only finitely many measurements can be made. Inverse theory concerns the mathematical techniques that enable researchers to use the available information to build a model of the unknown system or to determine its essential properties. In Geophysical Inverse Theory, Robert Parker provides a systematic development of inverse theory at the graduate and professional level that emphasizes a rigorous yet practical solution of inverse problems, with examples from experimental observations in geomagnetism, seismology, gravity, electromagnetic sounding, and interpolation. Although illustrated with examples from geophysics, this book has broad implications for researchers in applied disciplines from materials science and engineering to astrophysics, oceanography, and meteorology. Parker's approach is to avoid artificial statistical constructs and to emphasize instead the reasonable assumptions researchers must make to reduce the ambiguity that inevitably arises in complex problems. The structure of the book follows a natural division in the subject into linear theory, in which the measured quantities are linear functionals of the unknown models, and nonlinear theory, which covers all other systems but is not nearly so well understood. The book covers model selection as well as techniques for drawing firm conclusions about the earth independent of any particular model.
Mathematical Geophysics
Title | Mathematical Geophysics PDF eBook |
Author | N.J. Vlaar |
Publisher | Springer |
Total Pages | 424 |
Release | 1987-12-31 |
Genre | Science |
ISBN | 9789027726209 |
Computational Methods for Geodynamics
Title | Computational Methods for Geodynamics PDF eBook |
Author | Alik Ismail-Zadeh |
Publisher | Cambridge University Press |
Total Pages | 333 |
Release | 2010-07-22 |
Genre | Science |
ISBN | 1139489356 |
Written as both a textbook and a handy reference, this text deliberately avoids complex mathematics assuming only basic familiarity with geodynamic theory and calculus. Here, the authors have brought together the key numerical techniques for geodynamic modeling, demonstrations of how to solve problems including lithospheric deformation, mantle convection and the geodynamo. Building from a discussion of the fundamental principles of mathematical and numerical modeling, the text moves into critical examinations of each of the different techniques before concluding with a detailed analysis of specific geodynamic applications. Key differences between methods and their respective limitations are also discussed - showing readers when and how to apply a particular method in order to produce the most accurate results. This is an essential text for advanced courses on numerical and computational modeling in geodynamics and geophysics, and an invaluable resource for researchers looking to master cutting-edge techniques. Links to supplementary computer codes are available online.
Mathematical Physics
Title | Mathematical Physics PDF eBook |
Author | Sadri Hassani |
Publisher | Springer Science & Business Media |
Total Pages | 1052 |
Release | 2002-02-08 |
Genre | Science |
ISBN | 9780387985794 |
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
Geophysical Modelling of the Polar Motion
Title | Geophysical Modelling of the Polar Motion PDF eBook |
Author | Christian Bizouard |
Publisher | Walter de Gruyter GmbH & Co KG |
Total Pages | 398 |
Release | 2020-10-26 |
Genre | Science |
ISBN | 3110298090 |
Polar motion is an important geophysical process, and difficult to understand given the various parameters involved. But it is of key importance to our climate and climate change. Understanding and modeling also has implications on key technologies such as space geodesy and satellite navigation. Additionally, long term polar motion has close links to decadal climate change and ice cap development. It also reflects the global circulation in the hydro-atmospheric layers and the internal properties of the Earth. Therefore the topic is of primary interest for geophysics as well as climatology.